What is the Greatest Common Factor of 52800 and 52807?

Greatest common factor (GCF) of 52800 and 52807 is 1.

GCF(52800,52807) = 1

We will now calculate the prime factors of 52800 and 52807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52800 and 52807.

How to find the GCF of 52800 and 52807?

We will first find the prime factorization of 52800 and 52807. After we will calculate the factors of 52800 and 52807 and find the biggest common factor number .

Step-1: Prime Factorization of 52800

Prime factors of 52800 are 2, 3, 5, 11. Prime factorization of 52800 in exponential form is:

52800 = 2⁶ × 3¹ × 5² × 11¹

Step-2: Prime Factorization of 52807

Prime factors of 52807 are 52807. Prime factorization of 52807 in exponential form is:

52807 = 52807¹

Step-3: Factors of 52800

List of positive integer factors of 52800 that divides 52800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 25, 30, 32, 33, 40, 44, 48, 50, 55, 60, 64, 66, 75, 80, 88, 96, 100, 110, 120, 132, 150, 160, 165, 176, 192, 200, 220, 240, 264, 275, 300, 320, 330, 352, 400, 440, 480, 528, 550, 600, 660, 704, 800, 825, 880, 960, 1056, 1100, 1200, 1320, 1600, 1650, 1760, 2112, 2200, 2400, 2640, 3300, 3520, 4400, 4800, 5280, 6600, 8800, 10560, 13200, 17600, 26400

Step-4: Factors of 52807

List of positive integer factors of 52807 that divides 52800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52800 and 52807. The biggest common factor number is the GCF number.
So the greatest common factor 52800 and 52807 is 1.

Also check out the Least Common Multiple of 52800 and 52807